基于无网格算法的化学非平衡流数值模拟

Numerical Simulation of Chemical Non-Equilibrium Flow Based on Gridless Algorithm

为了验证AUSMPW+格式在无网格算法的精度等以及无网格算法能否用于复杂化学非平衡流数值模拟中,首先将AUSMPW+格式推广到无网格算法中,给出了AUSMPW+在无网格算法中的具体形式。其次,将无网格算法应用于带化学反应的多组分气体Euler方程的求解,给出无网格条件下求解化学非平衡流的具体过程。最后,对NACA0012跨声速绕流场、高超声速弹丸绕流场、氢气/氧气诱导燃烧流场、球锥高超声速绕流场、楔体斜爆轰流场进行了数值模拟。数值模拟结果与相关文献计算结果和实验结果吻合较好,表明了AUSMPW+格式在无网格算法中表现较高精度。同时,采用无网格算法能较好地模拟复杂化学非平衡流场,正确分辨复杂的物理现象,为化学非平衡流数值模拟提供一种新的算法,拓宽了无网格算法的应用范围。

In order to verify accuracy of AUSMPW + scheme in the gridless algorithm as well as the ability for complex chemical non-equilibrium flow numerical simulation in gridless algorithm,AUSMPW + scheme was extended into gridless method,and the specific form of AUSMPW + scheme in gridless algorithm was presented. Then,the gridless algorithm was applied to solve the multi-component gas Euler equations with chemical reactions,and the solving process were presented at gridless conditions. Finally,NACA0012 in transonic flow field,the hypersonic projectile flow field,the hydrogen / oxygen induced combustion flow field,the sphere cone hypersonic flow field,wedge oblique detonation flow field were computed. Results of numerical simulation are in agreement with those of the references and show that AUSMPW + scheme performs high precision in gridless algorithm. At the same time,the use of gridless algorithm can simulate the complex chemical non-equilibrium flow field,correctly distinguish the complex physical phenomena,and provide a new algorithm for numerical simulation of chemical non-equilibrium flow as well as, broaden the applications range of gridless algorithm.